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Question
Rationalise the denominator of the following
`(sqrt3 + 1)/sqrt2`
Solution
We know that rationalization factor for `1/sqrta` is `sqrta`.We will multiply numerator and denominator of the given expression `(sqrt3 + 1)/sqrt2` by `sqrt2` to get
`(sqrt3 + 1)/sqrt2 xx sqrt2/sqrt2 = (sqrt2 xx sqrt3 + sqrt2)/(sqrt2 xx sqrt2)`
`= (sqrt6 + sqrt2)/2`
Hence the given expression is simplified to `(sqrt6 + sqrt2)/2`
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